A Dilation is an example of a transformation that is not rigid. Dilations preserve size and shape.
A dilation of a point in a coordinate plane can be found by multiplying the x-and y-coordinates of
a point by the same number, n. D(x,y) = (nx, ny)
The number n is called the scale factor of the transformation.
Dilations are larger or smaller images of a set image.
Scale Factor 2 similar polygons with similar ratio of any 2 corresponding lengths
Similar Figures 2 figures that have the same shape but not size
Scale factor of a dilation- # mult. by (K)
Polygon Similarity: 2 polygons similar if there is a way of setting up a corresponding between their sides and angles
Cross-multiplication: If a over b equals c over d and d equals 0, then ad=bc
reduction: scale factor is 0< K < 1
enlargement: scale factor is K > 1
A dilation of a point in a coordinate plane can be found by multiplying the x-and y-coordinates of
a point by the same number, n.
D(x,y) = (nx, ny)
The number n is called the scale factor of the transformation.
Dilations are larger or smaller images of a set image.
Scale Factor 2 similar polygons with similar ratio of any 2 corresponding lengths
Similar Figures 2 figures that have the same shape but not size
Scale factor of a dilation- # mult. by (K)
Polygon Similarity: 2 polygons similar if there is a way of setting up a corresponding between their sides and angles
Cross-mult
reduction: scale factor is 0< K < 1
enlargement: scale factor is K > 1